In his recent paper Kähkönen (1987) shows, with the help of a parsimonious intertemporal framework, that liberalization programs can produce unexpected results. In particular, following the standard recommendation of raising artificially low deposit rates in a financially repressed economy may reduce welfare. Kähkönen notices, however, that his results may be sensitive to the assumption that there is no capital flight. This is a potentially serious drawback because of the empirical importance of capital flight (Cuddington (1986)), but Kähkönen’s results do not seem to depend critically on this exclusion. In this note I indicate how Kähkönen’s model can be extended to incorporate capital flight (see Haaparanta (1987) for a more thorough treatment). It turns out that, although most of the results derived by Kähkönen hold in this extended framework, capital flight reduces the likelihood of welfare losses resulting from higher deposit rates.

Abstract

In his recent paper Kähkönen (1987) shows, with the help of a parsimonious intertemporal framework, that liberalization programs can produce unexpected results. In particular, following the standard recommendation of raising artificially low deposit rates in a financially repressed economy may reduce welfare. Kähkönen notices, however, that his results may be sensitive to the assumption that there is no capital flight. This is a potentially serious drawback because of the empirical importance of capital flight (Cuddington (1986)), but Kähkönen’s results do not seem to depend critically on this exclusion. In this note I indicate how Kähkönen’s model can be extended to incorporate capital flight (see Haaparanta (1987) for a more thorough treatment). It turns out that, although most of the results derived by Kähkönen hold in this extended framework, capital flight reduces the likelihood of welfare losses resulting from higher deposit rates.

In his recent paper Kähkönen (1987) shows, with the help of a parsimonious intertemporal framework, that liberalization programs can produce unexpected results. In particular, following the standard recommendation of raising artificially low deposit rates in a financially repressed economy may reduce welfare. Kähkönen notices, however, that his results may be sensitive to the assumption that there is no capital flight. This is a potentially serious drawback because of the empirical importance of capital flight (Cuddington (1986)), but Kähkönen’s results do not seem to depend critically on this exclusion. In this note I indicate how Kähkönen’s model can be extended to incorporate capital flight (see Haaparanta (1987) for a more thorough treatment). It turns out that, although most of the results derived by Kähkönen hold in this extended framework, capital flight reduces the likelihood of welfare losses resulting from higher deposit rates.

The model is exactly the same as in Kähkönen except that, besides saving in the domestic bank (sD), the individual can illegally invest abroad an amount sF to earn the return r* with probability Φ (if not caught); if she is caught she loses both the value of investment and the interest on it. The individual determines the allocation of savings to maximize welfare. This is presented by risk-neutral “ordinal certainty equivalent” preferences introduced by Selden (1978). For any levels of savings, the indirect utility is (with Kähkönen’s notation)

u=u(z1,Ez2),

where

z1=[y1sDσ(SF)]/Π1

and

Ez2=[y2+(1+rD)sD+Φ(1+r*)SF]/Π2,

and where yj is the value of period-j income, πj the period-j consumer price index, and thus zj is the period-j aggregate real consumption, with j = 1,2. The function σ describes the gross costs associated with foreign investment; obviously σ(sF) > sf, σ > 1, and σ" > 0, (see Khan and Ul Haque (1985) for a similar treatment when analyzing capital flight). The first-order conditions for the choices of sD and sF are

u1/u2=(1+rD)Π1/Π2

and

σu1/u2=Φ(1+r*)Π1/Π2,

which give

σ(SF)=Φ(1+r*)/(1+rD)Φδ*/δD.

For capital flight to occur, it must be the case that Φ(1+r*)>(1+rD),

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which I assume. Thus one has

SF=SF(Φδ*/δD),

with SF

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> 0. The general equilibrium is now given by the following equations, derived in the same way as in Kähkönen but using the additional fact that consumption of the imported good in period 1 is cy1=Π21z1
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and that the government revenue in period 2 also includes the revenue from caught capital flight; with many individuals, this revenue is nonstochastic and is (1Φ)[(1+r*)SF]:
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u1(z1,Ez2)/u2(z1,Ez2)=Π1/δDΠ2(1)
u=u(z1,Ez2),(2)

where

z1=[R1tR21sDσ(sF)]/AΠ1

and

Ez2=[R2+(1+r*)(sD+sFi)]/Π2,

with

0<A=1tΠ21/Π11.

Rj is the value of period-j production, and i is the investment in physical capital. Savings in domestic banks can be solved from equation (1), and then welfare from equation (2).

A central theme in Kähkönen’s paper is that liberalization of domestic financial markets and trade are intimately related. Here the impact on welfare of an increase in rD is

du/d(1+rD)=(u2/π2){[(1+rD)/A+(1+r*)]dsD/d(1+rD)+(1+r*)(1Φ/A)dsF/d(1+rD)}.(3)

From equation (1) it can be shown that

|dsF/d(1+rD)|<dsD/d(1+rD)>0.

Consider first the case where t = 0 (that is, A = 1). Equation (3) implies now that welfare increases unambiguously with the domestic deposit rate. Hence the reduction in financial repression is beneficial, eve with capital flight, if trade has been liberalized. But if some tariffs remain, the analysis changes. In Kähkönen’s paper the condition (1+rD)/A>(1+r*)

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implies that financial liberalization reduces welfare: this is the first term in equation (3). But with capital flight th second term in equation (3) is positive: Φ/A>(1+rD)/(1+r*)A,
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since Φ(1+r*)>(1+rD).
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Thus, with capital flight the welfare may improve even when Kähkönen’s analysis would suggest welfare reduction. Intuitively, the reduction in capital flight tends to increase total savings, which are below the social optimum because of financial repression. Kähkönen’s other major result—that reducing the rate of interest on bank loans toward the world market levels improves welfare regardless of tariffs and financial repression—holds also when capital flight takes place. But if liberalization of capital movements means the reduction in control of foreign investment by households (that is, an increase in Φ), this does not hold (see Haaparanta (1987)) for the same reason that financial repression and tariffs are related. Furthermore, the claim that domestic financial markets have to be liberalized before capital movements are liberalized holds for the case of liberalizing foreign investment by households.

REFERENCES

  • Cuddington, John T., “Capital Flight: Estimates, Issues, and Explanations,” Princeton Studies in International Finance, No. 58 (Princeton, New Jersey: International Finance Section, Department of Economics, Princeton University, 1986).

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  • Haaparanta, Pertti, “Liberalization and Capital Flight” (unpublished: Helsinki: Department of Economics, Bank of Finland, 1987).

  • Kähkönen, Juha, “Liberalization Policies and Welfare in a Financially Repressed Economy,” Staff Papers, International Monetary Fund (Washington), Vol. 34 (September 1987), pp. 53147.

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  • Khan, Mohsin S., and Nadeem Ul Haque, “Foreign Borrowing and Capital Flight: A Formal Analysis,” Staff Papers, International Monetary Fund (Washington), Vol. 32 (December 1985), pp. 60628.

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  • Selden, Larry, “A New Representation of Preferences over ‘Certain X Uncertain’ Consumption Pairs: The ‘Ordinal Certainty Equivalent’ Hypothesis,” Econometrka (Evanston, Illinois), Vol. 46 (September 1978), pp. 104560.

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Mr. Haaparanta is Research Advisor in the Department of Economics of the Bank of Finland in Helsinki. He holds degrees from the University of Helsinki and received his Ph.D. from Yale University.